Geometry Working Seminar

Anton Iliashenko, Department of Pure Mathematics, University of Waterloo

"Harmonic Mappings"

For any smooth mapping between Riemannian manifolds, one can associate a variety of invariantly defined functionals. Consider the energy functionals E, which are of great geometrical and physical interest. We will examine the extremals of E, interpreted as the zeroes of the Euler-Lagrange equation associated with E. Special cases of these extremal mappings include geodesics, harmonic maps, etc. The talk is based on the first chapter of “Harmonic Mappings of Riemannian Manifolds” by James Eells, Jr. and J.H. Sampson.

Zoom meeting: contact Spiro Karigiannis (karigiannis@uwaterloo.ca) or Ragini Singhal (r4singha@uwaterloo.ca) for link